{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import os\n",
    "import subprocess\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import seaborn as sns # I love this package!\n",
    "sns.set_style('white')\n",
    "\n",
    "import torch"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Loss Trend Check"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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31rfY1js6GGt5HfU2jauLiEj34rNQj4uLw2q1eh4XFhYSGxsLQGRkJH369CEp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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fcff6e93a90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# load check point\n",
    "model_path = 'checkpoint.pth.tar'\n",
    "checkpoint = torch.load(model_path)\n",
    "loss_history_train = checkpoint['loss_history_train']\n",
    "loss_history_val = checkpoint['loss_history_val']\n",
    "loss_train = [np.mean(l) for l in loss_history_train]\n",
    "loss_val = [np.mean(l) for l in loss_history_val]\n",
    "plt.plot(loss_train, label = 'Train Loss')\n",
    "plt.plot(loss_val, label = 'Val Loss')\n",
    "plt.xlabel('Epoch')\n",
    "plt.ylabel('Loss')\n",
    "plt.title('Loss Trend')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "### Model performance"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "*** loading model from model_best.pth.tar\n",
      "*** calculating the model output of the images in /home/dhwon/data_hdd2/UCLA-protest/img/test/\n",
      "100%|██████████████████████████████████████| 8153/8153 [00:30<00:00, 264.91it/s]\n"
     ]
    }
   ],
   "source": [
    "model_path = 'model_best.pth.tar'\n",
    "# calculate outputs for the test data with our best model\n",
    "output_csv_path = 'pred.csv'\n",
    "command = ('python pred.py '\n",
    "           '--img_dir /home/dhwon/data_hdd2/UCLA-protest/img/test/ '\n",
    "           '--output_csvpath {csv_path} '\n",
    "           '--model {model} --batch_size 4 --cuda'\n",
    "           .format(csv_path = output_csv_path, model = model_path))\n",
    "\n",
    "            \n",
    "!{command}\n",
    "\n",
    "# load prediction\n",
    "df_pred = pd.read_csv(output_csv_path)\n",
    "df_pred['imgpath'] = df_pred['imgpath'].apply(os.path.basename)\n",
    "\n",
    "# load target\n",
    "test_label_path = '/home/dhwon/data_hdd2/UCLA-protest/annot_test.txt'\n",
    "df_target = pd.read_csv(test_label_path, delimiter= '\\t')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Binary Variables"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.metrics import accuracy_score, roc_auc_score, roc_curve\n",
    "def plot_roc(attr, target, pred):\n",
    "    \"\"\"Plot a ROC curve and show the accuracy score and the AUC\"\"\"\n",
    "    fig, ax = plt.subplots()\n",
    "    auc = roc_auc_score(target, pred)\n",
    "    acc = accuracy_score(target, (pred >= 0.5).astype(int))\n",
    "    fpr, tpr, _ = roc_curve(target, pred)\n",
    "    plt.plot(fpr, tpr, lw = 2, label = attr.title())\n",
    "    plt.legend(loc = 4, fontsize = 15)\n",
    "    plt.title(('ROC Curve for {attr} (Accuracy = {acc:.3f}, AUC = {auc:.3f})'\n",
    "               .format(attr = attr.title(), acc= acc, auc = auc)),\n",
    "              fontsize = 15)\n",
    "    plt.xlabel('False Positive Rate', fontsize = 15)\n",
    "    plt.ylabel('True Positive Rate', fontsize = 15)\n",
    "    plt.show()\n",
    "    return fig"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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wd3eHo6OjvkorMx6VExGRMTBYBzghhPR7dnY2Vq9ejUOHDuHIkSOIj4/H9evX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\n5iIiIg6nmIuIiDicYi4iIuJwPwCX64CHWDqLaQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fcfef5a8110>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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MHTsWFy5cwJ9//ommTZtixIgR0k7P0qVL0aRJEwwZMgTOzs6IiopCr169VPo7UvWkq5yc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\nCXMhhBDC4CTMhRBCCIP7BoVI7Vo55BnKAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fcfee53d7d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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YGyfSceyZE5HSRM5aOVH1x545EcmwNk6km9gzJyIi0nHsmRO9YVj/Jqp52DMn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\ng6Mh7qom4QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fcfee4d9d90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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EOCGE9HNOTg42bNiAgwcP4siRI4iPj0dSUlJFlQaAJ78REZH+0FmYW1paIiMj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\nHADmAv7bK74oNPO6AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fcfee4d9e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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zV9jLXJWNHTkRkfFgmL/CSgtyXuSFiOjVwDB/DXB3ORHRq40D4IiIiIwcO/NX\nCO9cRkT0emJn/grhncuIiF5P7MxfEc/e8ITHyImIXi/szF8RvOEJEdHri2H+iuGpZkRErx/uZjdS\nHOxGRERPsTM3UhzsRkRET7EzNwLqunAOdiMiInbmRqCkIGcnTkREADtzo8IunIiIVGFnTkREZOQY\n5gbu2YvBEBERqaLT3ewRERFISEiATCZDWFgYXFxcpHlRUVH4/fffYWJigkaNGmHixIm6LM1g8WIw\nRERUGp2F+YkTJ5CamorNmzcjJSUFYWFh2Lx5MwAgNzcXq1atwt69e2FmZob+/fvj77//hpubm67K\nMyiqRq/zYjBERFQSne1mj4+PR9u2bQEAderUQU5ODnJzcwEA5ubmMDc3x6NHj1BUVIS8vDxUrlxZ\nV6UZnOeDnF05ERGpo7POPCsrC05OTtJja2trZGZmwtLSEhUqVMDQoUPRtm1bVKhQAUFBQXBwcNBV\naQaLo9eJiEgTehsAJ4SQfs7NzcWKFSuwZ88e7N+/HwkJCbhw4YK+StMrDngjIqKy0lmY29raIisr\nS3p8+/Zt2NjYAABSUlJQs2ZNWFtbw8LCAh4eHkhMTNRVaQaFA96IiKisdBbm3t7eiIuLAwAkJSXB\n1tYWlpaWAIAaNWogJSUFjx8/BgAkJiaiVq1auirNYDzblXPAGxERaUpnx8wbN24MJycnhIaGQiaT\nITw8HLGxsbCysoK/vz8+//xz9OnTB6ampnB3d4eHh4euSjMY7MqJiOhF6PQ88zFjxig9rl+/vvRz\naGgoQkNDdVmOwXj+VDR25UREVBa8ApwBeDbI2ZUTEVFZ8UYrBoSnohER0YtgZ65nPBWNiIheFsNc\nzzjojYiIXhbD3EBw0BsREb0ohjkREZGRY5gTEREZOYY5ERGRkWOY6xFHshMRUXlgmOsRR7ITEVF5\nYJgbAI5kJyKil8EwJyIiMnIMcyIiIiPHa7Pr2PN3SCMiInpZ7Mx17Pkg5+A3IiJ6WezMdejZU9F4\nhzQiIiovZe7Mi4qKtFHHa4GnohERkTZoFOYKhQLLli1D69at0bhxYwDAo0ePMGXKFBQUFGi1wFfF\ns105T0UjIqLypFGYz58/H7/++isGDBggTXv8+DGSk5Mxd+5crRX3KmFXTkRE2qJRmO/YsQM//PAD\nevXqBZlMBgCwtrbGggULsG/fPq0WaOym/XQMH329TXrMrpyIiMqbRmGek5ODevXqFZtevXp1ZGdn\nl3tRr5KnHySiAAAgAElEQVRnR6+zKyciIm3QaDS7nZ0dzp49C3d3dwghpOl//PEHqlWrprXiXiUc\nvU5ERNqiUZiHhobiiy++QEhICBQKBdatW4fk5GTs2rULY8eO1XaNREREpIZGYd6zZ09UqFABUVFR\nMDU1xdKlS1GrVi3MmTMHgYGB2q6RiIiI1NAozLOzsxEcHIzg4GCl6QUFBUhOTkbDhg21Upyx4/3K\niYhIFzQaAOfr66tyekFBAfr06VOuBb1KeDoaERHpgtrOfN++fdi7dy8KCwtVHhu/fv06TE1NtVac\nMeNFYoiISFfUhnmtWrXwzjvvQAiBmzdvFptvaWmJWbNmaa04Y8aunIiIdEVtmH/wwQcYP348MjMz\nMW/ePJXLpKWlaaWwVwW7ciIi0jaNjpmXFOQ3b95E165dy7WgVwEHvhERkS5pNJo9PT0dEyZMwLlz\n54rdWKVOnTpaKcyYcRc7ERHpkkad+fTp02FhYYGxY8fC1NQUU6dORZcuXeDq6or169dru0ajxV3s\nRESkCxqFeUJCAr7//nv07NkTpqamCAkJwezZs9GlSxesWrVK2zUSERGRGhqFOQBUqlQJAGBqaoq8\nvDwAQKdOnfDbb79ppzIiIiLSiEZh7ujoiIULF6KwsBC1atVCTEwMAODq1avFjqETERGRbmkU5mPG\njMHmzZuRn5+Pzz77DHPmzIGnpye6d++ODh06aLtGo8KR7EREpGsajWZ3dXXF//73P1hYWKBTp06o\nWrUqEhISYG9vj3bt2mm7RqPCkexERKRrGoU5AFhYWEg/e3l5wcvLCwCgUCjKvyojxUu4EhGRPpS6\nm33fvn348ssvMXr0aBw5ckRp3rVr19CjRw+tFWdMpv10jF05ERHphdow37FjB0aNGoWCggJkZWVh\n0KBBOHDgAAAgJiYGnTt3hrm5uU4KNXTPBjm7ciIi0iW1u9nXrl2LmTNnokuXLgCAjRs3YtmyZYiJ\niUF8fDxGjhyJvn376qRQQ/VsRw5w9zoREeme2s786tWrCAwMlB536tQJ//zzD3JycrB161Z89tln\nkMlkWi/SkD0b5Ny9TkRE+qC2My8oKFAa+GZpaQkLCwts3LhR64UZg2cHvG2f11mPlRAR0etM4yvA\nPfW6d+LP4oA3IiIyBGUOc3qCp6EREZGhULubvbCwEGPHji112rffflv+lRk4duVERGQo1IZ5kyZN\ncPPmzVKnaSoiIgIJCQmQyWQICwuDi4uLNO/mzZsYPXo0CgsL0bBhQ0yfPv2FXkPX2JUTEZG+qQ3z\n8rxX+YkTJ5CamorNmzcjJSUFYWFh2Lx5szR/zpw56N+/P/z9/TFt2jTcuHED7733Xrm9fnni9deJ\niMiQ6OyYeXx8PNq2bQsAqFOnDnJycpCbmwvgySVhT58+DT8/PwBAeHi4wQY5wF3sRERkWHQW5llZ\nWahSpYr02NraGpmZmQCA7OxsVKpUCbNnz0aPHj0wb948XZX1UriLnYiIDIHeRrMLIZR+zsjIQJ8+\nfbBhwwYkJyfj4MGD+iqNiIjIqOgszG1tbZGVlSU9vn37NmxsbAAAVapUwXvvvQd7e3uYmpqiefPm\nuHjxoq5KIyIiMmplCvOCggKkpaW90At5e3sjLi4OAJCUlARbW1tYWloCAMzMzFCzZk1cvXpVmu/g\n4PBCr0NERPS60eh+5g8fPkRERAS2bdsGAEhMTEROTg5Gjx6NefPm4e233y51HY0bN4aTkxNCQ0Mh\nk8kQHh6O2NhYWFlZwd/fH2FhYRg/fjyEEHB0dJQGwxEREZF6GoV5ZGQkzp8/j0WLFmHkyJEAABMT\nE5iZmSEyMhKzZ8/W6MXGjBmj9Lh+/frSz++//z42bdqkad1ERET0/2kU5vv370d0dDRq1qwpXZvd\nysoKM2fORNeuXbVaoKHhOeZERGRoNDpmnpeXh5o1axab/tZbb+HBgwflXpShevbe5TzHnIiIDIVG\nYe7g4IA///yz2PQtW7bA3t6+3IsyVM8GOc8xJyIiQ6HRbvYBAwZg1KhR8Pf3h1wuR0REBM6fP4/T\np09j7ty52q7RIPAuaUREZKg0CvOAgABUrlwZGzduhL29PU6dOoVatWph48aNcHNz03aNBoG714mI\nyFBpFObx8fFo0aIFWrRooe16DB67ciIiMjQaHTPv168ffH19sXDhQqSmpmq7JiIiIioDjcL8jz/+\nQGhoKA4cOIAOHTogNDQU0dHRr81Idp6ORkREhkyjMLezs8PgwYOxbds27NixA82bN8eaNWvg4+OD\nUaNGabtGvePxciIiMmRlvtFKnTp1MHToUISFhcHd3R179uzRRl0GicfLiYjIEGk0AA4A5HI5Dh8+\njD179mD//v2QyWRo3749hg0bps36iIiIqBQahXlYWBj279+Phw8folWrVpgxYwZ8fX1hYWGh7fqI\niIioFBqF+eXLlzFy5EgEBARodIc0IiIi0p0Sw1wIId1UZePGjdJ0hUJRbFkTkzIfeiciIqJyUmKY\nu7m5ISEhAQDQsGFDKdhVOX/+fPlXZiB4WhoRERm6EsN8+vTp0s+a3q/8VcTT0oiIyNCVGOadO3eW\nfn7zzTfRvn37Ysvk5eUhNjZWO5UZAN5chYiIjIFGB7vHjh2rcvqDBw8QGRlZrgUZEnblRERkDNSO\nZl+zZg1Wr16NgoICtG7dutj8nJwcVK9eXVu1GQx25UREZMjUhnn37t1hb2+P4cOHIzg4uNj8N954\nA+3atdNacURERFQ6tWH+5ptvws/PD5MnT0ZoaKiuaiIiIqIyKDHMt27dii5dujxZyMwMv/76a4kr\nUdW1ExERkW6UGOZTpkyRwnzSpEklrkAmkzHMiYiI9KjEMD937pz084ULF3RSDBEREZWdxtdhTUlJ\nkX6+efMm1qxZg0OHDmmlKCIiItKcRmH+yy+/oFu3bgCA3NxchISEICoqCmPGjEFUVJRWCyQiIiL1\nNArz1atXY8mSJQCAnTt34o033sCuXbvw888/K92EhYiIiHRPozC/efMmWrRoAQA4fPgwAgMDYW5u\nDicnJ9y8eVOrBRIREZF6GoX5m2++idzcXBQUFODEiRPw9vYG8GSXu6mpqVYL1BfeLY2IiIyF2ovG\nPNWsWTN89dVXMDU1hZWVFZo0aYKioiIsXboUzs7O2q5RL3hddiIiMhYadeaTJ09GjRo1YGlpiaVL\nl0ImkyEvLw9//vknJk6cqO0a9YrXZSciIkOnUWf+9ttvK93fHACsrKwQFxenlaKIiIhIcxqFOQDs\n2bMHv/32G65duwaZTAYHBweEhoaiZcuW2qyPiIiISqHRbvaNGzfi66+/hkwmQ5s2bdC6dWsUFBRg\nyJAh+PPPP7VdIxEREamhUWe+bt06LFq0CG3atFGavmvXLixbtgx+fn5aKY6IiIhKp1FnfuvWLfj6\n+hab3q5dO1y9erW8ayIiIqIy0CjMbWxscO3atWLTr1+/jrfeeqvciyIiIiLNabSb3dfXFyNGjMDw\n4cNRp04dCCHw77//YunSpfDx8dF2jURERKSGRmE+evRoTJ06FV999RWEENL0Dh06YPz48VorjoiI\niEqnUZhXrFgRc+bMwaRJk5Ceno78/HzY29ujSpUq2q6PiIiISlFqmD98+BBnzpyBubk5GjdujPr1\n6+uiLiIiItKQ2jC/fPky+vfvj1u3bgEAHBwcsHr1alSrVk0nxREREVHp1I5m//777+Hu7o5Dhw7h\n4MGDqFu3LubPn6+r2oiIiEgDajvzhIQExMTEwMbGBgAQFhaGnj176qQwIiIi0ozazjw7Oxu2trbS\n4+rVq+POnTtaL4qIiIg0pzbMZTJZub5YREQEQkJCEBoainPnzqlcZt68eejdu3e5vm5ZTfvpmF5f\nn4iIqCw0ugJceThx4gRSU1OxefNmzJo1C7NmzSq2zKVLl3Dy5EldlVSiU+czAAAeDarquRIiIqLS\nqT1mXlBQUOwYuappUVFRpb5QfHw82rZtCwCoU6cOcnJykJubC0tLS2mZOXPmYNSoUViyZInGb0Cb\nwgc003cJREREpVIb5p07dy62q93e3v6FXigrKwtOTk7SY2tra2RmZkphHhsbi6ZNm6JGjRovtH4i\nIqLXldownzNnjtZe+NnLwt67dw+xsbFYvXo1MjIytPaaREREryKdHTO3tbVFVlaW9Pj27dvSKW/H\njh1DdnY2evbsiWHDhiEpKQkRERG6Ko2IiMio6SzMvb29ERcXBwBISkqCra2ttIu9Q4cO2LVrF2Ji\nYrBkyRI4OTkhLCxMV6UREREZNY1utFIeGjduDCcnJ4SGhkImkyE8PByxsbGwsrKCv7+/rsogIiJ6\n5egszAFgzJgxSo9V3bTFzs4O69ev11VJRERERq9Mu9nT0tIQHx+vrVqIiIjoBWgU5llZWfjss8/g\n7++PgQMHAngygC0wMBDXr1/XaoFERESknkZhHhERAXNzc2zbtg0mJk+e8vbbb8PNzU2rp68RERFR\n6TQ6Zn7kyBHs2rUL77zzjnQRGQsLC4wbNw4BAQFaLZCIiIjU06gzVygUqFKlSrHpZmZmePToUbkX\nRURERJrTKMwdHR2xZcuWYtN//PFH1KtXr9yLIiIiIs1ptJt9+PDhGDJkCGJjY1FYWIihQ4fiwoUL\nyMrKwvLly7VdIxEREamhUZg3a9YMv/76K2JiYmBpaQkTExMEBgYiNDSUN0YhIiLSM40vGlO3bl1e\nYpWIiMgAaRTmEyZMUDt/9uzZ5VIMERERlZ1GYZ6amqr0WKFQID09HUVFRWjWrJlWCiMiIiLNaBTm\nGzduLDZNCIHFixerPGWNiIiIdOeFb4Eqk8kwZMgQ/PTTT+VZDxEREZXRS93PPCsrC/fv3y+vWoiI\niOgFaLSbfezYscWmPX78GKdPn4abm1u5F6VP0346pu8SiIiIykSjML9582axaRUrVkTHjh3x+eef\nl3tR+nTqfAYAwKNBVT1XQkREpBmNwnzdunXSDVZeF+EDOEqfiIiMg0bHzBs3bqztOoiIiOgFaRzm\nf/zxh7ZrISIioheg0W72WrVqITw8HD/88APs7e1hbm6uNP/bb7/VSnFERERUOo3C/L///kPt2rUB\nPDkdjYiIiAyHRmG+fv16bddBREREL0jtMfOAgABd1UFEREQvSG2YX79+XVd1EBER0QtSG+av27nl\nRERExkjtMXO5XI5jx45BCKF2Jc2bNy/XooiIiEhzasO8qKgI/fr1UxvmMpkM58+fL/fCiIiISDNq\nw9zc3Bx79uzRVS1ERET0AtSGuYmJCWrUqKGrWoiIiOgFqB0AV9qxciIiItI/tWHeuXNnXdVBRERE\nL0htmM+YMUNXdRAREdEL0uiuaURERGS4GOZERERGjmFORERk5BjmRERERo5hTkREZOQY5kREREaO\nYU5ERGTkGOZERERGjmFORERk5BjmRERERo5hTkREZOQY5kREREaOYU5ERGTkzHT5YhEREUhISIBM\nJkNYWBhcXFykeceOHcP8+fNhYmICBwcHzJo1CyYm/K5BRERUGp2l5YkTJ5CamorNmzdj1qxZmDVr\nltL8KVOmYNGiRYiOjsbDhw9x6NAhXZVGRERk1HQW5vHx8Wjbti0AoE6dOsjJyUFubq40PzY2FtWq\nVQMAWFtb4+7du7oqjYiIyKjpLMyzsrJQpUoV6bG1tTUyMzOlx5aWlgCA27dv48iRI2jVqpWuSiMi\nIjJqejsoLYQoNu3OnTsYMmQIwsPDlYKfiIiISqazMLe1tUVWVpb0+Pbt27CxsZEe5+bmYuDAgRg5\nciR8fHx0VRYREZHR01mYe3t7Iy4uDgCQlJQEW1tbadc6AMyZMwd9+/bFhx9+qKuSiIiIXgk6OzWt\ncePGcHJyQmhoKGQyGcLDwxEbGwsrKyv4+Phg69atSE1Nxa+//goA6NixI0JCQnRVHhERkdHS6Xnm\nY8aMUXpcv3596efExERdlkJERPTK4FVZiIiIjBzD/BnTfjqm7xKIiIjKjGH+jFPnMwAAHg2q6rkS\nIiIizTHMVQgf0EzfJRAREWmMYU5ERGTkGOZERERGjmFORERk5BjmRERERo5hTkREZOQY5kREREaO\nYU5ERGTkGOZERERGjmFORERk5BjmRERERo5hTkREZOQY5kREREaOYU5ERGTkGOZERERGjmFORERk\n5BjmRERERo5hTkREZOQY5kREREaOYU5ERGTkGOZERERGjmFORERk5BjmRERERo5hTkREZOQY5kRE\nREaOYU5ERGTkGOZERERGjmFORERk5BjmRERERo5h/v9N++mYvksgIiJ6IQzz/+/U+QwAgEeDqnqu\nhIiIqGwY5s8JH9BM3yUQERGVCcOciIjIyDHMiYiIVBg/fjx69OgBADh58iScnZ2Rlpam56pUM9N3\nAUREROWtd+/eOHXqFMzM/i/mbGxs4OXlhZEjR6Jq1bKNj/L09MQ///xT3mWWG3bmRET0SgoKCsI/\n//yDf/75B+fOncPq1auRnp6OwYMHQ6FQ6Lu8csUwJyKiV55MJsP777+P0aNH4/z587hy5Qru3r2L\nCRMmoHXr1nBxcUGnTp2wZ88elc8/fvw46tWrh9TUVADAw4cPMXXqVDRv3hyenp4YPHgwrl27Ji1/\n7NgxfPrpp/Dw8ICnpydGjRqFzMxMrb0/7mYnIqJSTfvpmHQKr655NKhabmcayeVyAICZmRlGjBgB\nANi0aRPeeecd/PLLLxg5ciSio6Ph5uamdj1TpkzB9evXsXXrVrz11lsIDw/HwIEDsXv3bly+fBmD\nBw/GhAkT8Mknn+DevXsYP348vv76a6xbt65c3sfz2JkTEdErT6FQ4MqVK5g/fz48PT3x+PFjnDhx\nAmPHjkX16tVhYWGBnj174oMPPsDWrVvVruvu3bvYvXs3Bg0ahKpVq+KNN97A2LFj8dVXXyE/Px8x\nMTFo0KABQkNDYW5uDhsbG4wdOxbHjx9X6t7LEztzIiIqlTFeg2Pnzp2Ii4sD8GQ3u62tLVq2bIkR\nI0bg9OnTAIAPPvhA6Tl16tQpdcR6eno65HI57OzspGnvvvsuAgMDAQCXL19GQkICnJ2dlZ5namqK\n9PR02Nvbv/R7ex7DnIiIXklBQUGYO3euynn5+fkAACGE0nRNBsaZmpqqXbZixYpo3bo1fvjhh7KU\n+1K4m52IiF47tWrVAgD8+++/StMvXboEBwcHtc+tWbMmzMzMcPnyZWladnY2Vq1ahXv37qFWrVr4\n999/lcI+Pz8fGRnaG3PAMCcioteOk5MTXFxc8O233+L27dvIz8/H6tWrkZqaiuDgYLXPtbKyQseO\nHbF8+XKkpaXh8ePH+P777xETEwMrKyuEhoYiMzMTCxcuRG5uLnJycjBt2jT07dtXa6fE6TTMIyIi\nEBISgtDQUJw7d05p3tGjRxEcHIyQkBAsXbpUl2UREdFraNmyZbC1tcUnn3wCHx8f7Nu3D2vXrkX9\n+vVLfe60adPg5uaGjz/+GD4+Prhx4wZWrFgBU1NT2NnZYcWKFYiPj0eLFi3Qvn175OTkYOXKlTAx\n0U7sysTzBwy05MSJE1i1ahVWrFiBlJQUhIWFYfPmzdL8wMBArFq1ClWrVkWvXr0wffp01K1bV+W6\n0tPT0aZNG+zfv19pAMLL+OjrbQCA7fM6l8v6iIiIypO67NNZZx4fH4+2bdsCeDJaMCcnB7m5uQCA\ntLQ0VK5cGdWrV4eJiQlatWqF+Ph4XZXGe5kTEZFR01mYZ2VloUqVKtJja2tr6Wo4mZmZsLa2VjlP\nl3gvcyIiMkZ6OzVNR3v3NWKM508SERE9pbPO3NbWFllZWdLj27dvw8bGRuW8jIwM2Nra6qo0IiIi\no6azMPf29pauxJOUlARbW1tYWloCAOzs7JCbm4v09HQUFRXhwIED8Pb21lVpRERERk1nu9kbN24M\nJycnhIaGQiaTITw8HLGxsbCysoK/vz+mTp2Kr7/+GsCTke2lnbRPRERET+j0mPmYMWOUHj97Lp+n\np6fSqWpERESkGV4BjoiIyMgxzImIiIwcw5yIiMjIMcyJiIiMHMOciIjIyDHMiYiIjBzDnIiIyMjp\n7drsL0MulwMAbt26pedKiIiIdONp5j3NwGcZZZg/vaNaz5499VwJERGRbmVmZuL9999XmiYThnT7\nMg09fvwYiYmJsLGxgampqb7LISIi0jq5XI7MzEw0atQIFStWVJpnlGFORERE/4cD4IiIiIwcw5yI\niMjIMcyJiIiMHMOciIjIyL2WYR4REYGQkBCEhobi3LlzSvOOHj2K4OBghISEYOnSpXqq0PCp24bH\njh1D9+7dERoaigkTJkChUOipSsOmbhs+NW/ePPTu3VvHlRkPddvw5s2b6NGjB4KDgzFlyhQ9VWgc\n1G3HqKgohISEoEePHpg1a5aeKjR8//33H9q2bYsNGzYUm6eTXBGvmePHj4tBgwYJIYS4dOmS6N69\nu9L8gIAAcePGDSGXy0WPHj3ExYsX9VGmQSttG/r7+4ubN28KIYQYPny4OHjwoM5rNHSlbUMhhLh4\n8aIICQkRvXr10nV5RqG0bThixAixd+9eIYQQU6dOFdevX9d5jcZA3XZ88OCB8PX1FYWFhUIIIfr1\n6yfOnj2rlzoN2cOHD0WvXr3EpEmTxPr164vN10WuvHadeXx8PNq2bQsAqFOnDnJycpCbmwsASEtL\nQ+XKlVG9enWYmJigVatWiI+P12e5BkndNgSA2NhYVKtWDQBgbW2Nu3fv6qVOQ1baNgSAOXPmYNSo\nUfoozyio24YKhQKnT5+Gn58fACA8PBzvvfee3mo1ZOq2o7m5OczNzfHo0SMUFRUhLy8PlStX1me5\nBsnCwgIrV66Era1tsXm6ypXXLsyzsrJQpUoV6bG1tbV0RbnMzExYW1urnEf/R902BABLS0sAwO3b\nt3HkyBG0atVK5zUautK2YWxsLJo2bYoaNWroozyjoG4bZmdno1KlSpg9ezZ69OiBefPm6atMg6du\nO1aoUAFDhw5F27Zt4evrC1dXVzg4OOirVINlZmZW7CIuT+kqV167MH+e4DVzXpqqbXjnzh0MGTIE\n4eHhSh8UpNqz2/DevXuIjY1Fv3799FiR8Xl2GwohkJGRgT59+mDDhg1ITk7GwYMH9VecEXl2O+bm\n5mLFihXYs2cP9u/fj4SEBFy4cEGP1VFJXrswt7W1RVZWlvT49u3bsLGxUTkvIyND5W6T1526bQg8\n+QAYOHAgRo4cCR8fH32UaPDUbcNjx44hOzsbPXv2xLBhw5CUlISIiAh9lWqw1G3DKlWq4L333oO9\nvT1MTU3RvHlzXLx4UV+lGjR12zElJQU1a9aEtbU1LCws4OHhgcTERH2VapR0lSuvXZh7e3sjLi4O\nAJCUlARbW1tpt7CdnR1yc3ORnp6OoqIiHDhwAN7e3vos1yCp24bAk2O9ffv2xYcffqivEg2eum3Y\noUMH7Nq1CzExMViyZAmcnJwQFhamz3INkrptaGZmhpo1a+Lq1avSfO4eVk3ddqxRowZSUlLw+PFj\nAEBiYiJq1aqlr1KNkq5y5bW8NvvcuXNx6tQpyGQyhIeHIzk5GVZWVvD398fJkycxd+5cAEC7du3w\n+eef67law1TSNvTx8YGnpyfc3d2lZTt27IiQkBA9VmuY1P0dPpWeno4JEyZg/fr1eqzUcKnbhqmp\nqRg/fjyEEHB0dMTUqVNhYvLa9S8aUbcdo6OjERsbC1NTU7i7u2Ps2LH6LtfgJCYmIjIyEtevX4eZ\nmRmqVq0KPz8/2NnZ6SxXXsswJyIiepXwayoREZGRY5gTEREZOYY5ERGRkWOYExERGTmGORERkZFj\nmBPpyfjx49GjRw99l/FStm7dCmdnZ8jlcpXz+/fvjwkTJui4KqLXD09NI3oBvXv3xqlTp2BmZlZs\nXq9evTBu3LhS1zF+/HikpqZi06ZN2igR9erVg5mZmXRutYmJCd577z0EBQVh4MCBqFChQrm/5qlT\np1BYWIjmzZuX+7qfl56ejjZt2sDc3BwymUyaXrlyZTRu3BgjR45E7dq1NV7ftm3b0LhxY9SsWVMb\n5RJpVfFPIiLSSFBQkHQhCEM1depUdOvWDQBQVFSEhIQEjBw5Evfu3cOkSZPK/fXWrl2L2rVr6yTM\nn/rxxx/RokUL6fGtW7cQGRmJfv36YceOHbCysip1HUIIzJ49G/Pnz2eYk1HibnYiLcnMzMSoUaPg\n7e0Nd3d3fPzxxzh69KjKZYUQWLhwoXRnqpYtW2L27NkoLCwEAMjlcixZsgTt27eHq6sr2rRpg59+\n+qlM9ZiZmaFJkybo1asXdu3aJU3/999/0b9/f3h5ecHd3R39+vVTupnG0aNH0a1bNzRp0gQeHh7o\n168fLl26BODJ3d3q1auHoqIihIaGYu/evVi5ciU8PDwAPNmDMWbMGFy5cgX16tXDiRMnlGpavHgx\nWrduDYVCgcePH2PmzJnw8/ODi4sLAgICsHXr1jK9RwCoVq0awsLCcOvWLaVbTa5atQrt27eHu7s7\nWrVqhQULFkAIgUePHsHZ2Rl3797FoEGDMGTIEADA3bt3MW7cOLRq1Qqurq7o2rUr/vrrrzLXQ6QL\nDHMiLZk8eTKys7MRFxeHEydOoGXLlhg2bFix+5YDwK5du/Drr79i7dq1SEhIwLp163Dw4EFs2bIF\nALBkyRJs3boVixYtwpkzZxAZGYkffvjhhcJOLpdLhwdycnLQu3dv1K1bF/v378ehQ4dgY2OD/v37\nIzc3F4WFhRg6dCg++eQTnDhxAgcPHoSDg4PKrj46Oho1atTAwIEDcerUKaV5Dg4OcHFxwe7du5Wm\n79y5E507d4aJiQmmTJmChIQErF27FmfOnMHo0aMxceJEnDx5sszvsaCgAACkQwlxcXFYsGAB5s2b\nh7Nnz2Lp0qVYs2YNYmNj8eabb2LPnj0AnnT5y5cvBwAMGzYMOTk52LJlC06ePIng4GB8+eWXSEtL\nKyc8m04AAAZeSURBVHM9RNrGMCfSkoULF2LZsmWwtLSEubk5PvroIzx8+FDqap91//59yGQyKXwc\nHBywZ88ehIaGQqFQYOPGjRg4cCDq1asHU1NTeHh4oFu3boiJidG4noKCApw8eRJRUVH45JNPAADb\nt2+HTCbDmDFjYGlpCUtLS4wfPx7Z2dn43//+h4KCAuTn56NChQowNTWFpaUlJk+ejOjo6DJvj06d\nOmHv3r1QKBQAgOTkZFy5cgVdunTBvXv3sH37dnz11VeoWbMmzMzM4O/vDz8/vzK9RyEE0tLSMH36\ndNjZ2Um7+9u2bYtDhw6hUaNGAIBGjRrhgw8+QEJCgsr1XLhwAadOncK4cePw7rvvwsLCAj179kS9\nevWkL1hEhoTHzIle0M6dO6W7TT1r2rRp+Pjjj/Hff/9h4cKFSEpKwsOHD6X5+fn5xZ7TsWNH7Nmz\nB23atEHjxo3RokULfPTRR6hRoways7Nx7949zJgxAzNnzpSeI4RQuvWsKlOnTsX06dMBPNnNbmdn\nh/79+6Nv374AgNTUVNjb28PCwkJ6jrW1NaytrZGWloZKlSph9OjRmDJlClasWIHmzZvD399f6Ri1\npoKCgjBnzhycOHECzZo1w44dO+Dm5gYHBwckJCRAoVBgyJAhSoPZhBBwdXVVu95BgwZJz1EoFBBC\noFOnTtiwYYP0vgoKCrB48WLs378f2dnZAIDCwkLUrVtX5TovX74M4MkXkGcJIUp8DpE+McyJXpC6\nAXAPHjzA559/jg8//BA7duyAjY0NLl++jICAAJXLW1lZYe3atbh48SIOHz6M/fv3Y8mSJVi8eDE8\nPT0BAAsWLFC6o5omnh0Ap0p+fj5UndCiUCikgBwwYACCg4Nx5MgRHDp0CEOHDoWfnx/mzZtXplqs\nra3h4+OD3bt3w8vLC7t378agQYMA/N/u8JiYGDRs2LBM6312ANyFCxcQHByM1q1bo3r16tIy06dP\nx+HDh7F06VI4OTnB1NRU7Z38ntZz+PBhVK5cuUz1EOkDd7MTaUFKSgru37+P/v37S93zuXPnSly+\noKAAubm5+OCDD9CvXz9s2LABAQEB2Lx5MywtLfHuu+8iOTlZ6TkZGRnSseEX5eDggNTUVKW9BZmZ\nmbh79650/+/s7Gy8/fbbUme9bNky7NixA/fu3Svz63Xu3Bn79+/HmTNnkJWVhcD/196du7S2BHAc\n/0IEt07UIi6NFjYGiSIILpiA4o0WQUWIhYUx4kJKNSoRhEjETghokUrzB1jbWIgrUUEI2rlggpVC\nwOBy9BUXAz69vPu4yHuB36c8MwxzTvM7M3Nmzo8fAJSVlWEymT7dYzwe5+Xl5bfbr6qqYnR0lLm5\nOW5vb9PXj4+PaW9vx2KxYDKZfrnc8e79n91/78/19fWXLz8i/zWFucg3MJvNmEwmjo6OeH5+Zmdn\nJz0ln0gkPtWfn59nZGSEeDwO/Azqi4uL9D7pgYEBIpEIu7u7GIbB2dkZLpeLcDj8R/3s7Ozk9fWV\npaUlUqkU9/f3LCwsYDabaW5uJhqNYrfb2d7exjAMnp6eODk5obCw8MsRa25uLldXVySTyS8PkrHZ\nbKRSKZaXl7HZbOk28vPz6enpIRQKEYvFMAyDw8NDnE7nhy/vf4fH46GkpITp6el08JaXlxOLxXh4\neODm5obZ2VnMZjOJRIK3tzfy8vKAn9PryWSSiooKGhsbWVxc5PLyEsMw2NzcxOFwEI1G/+1jFvl2\nCnORb1BcXMzMzAyrq6vU19ezvr5OIBCgo6MDv9/PxsbGh/qTk5OUlpbS3d2NxWKhr6+P6upqvF4v\nAIODg/T39+Pz+aipqWFsbAyn08nw8PAf9bOoqIhwOMz5+TktLS04HA4MwyASiZCdnU1tbS1TU1ME\nAgGsVitNTU0cHBywsrLyYW37ncvlYmtrC7vdzt3d3afynJwc2tra2Nvbw+l0fijz+Xy0trbidrux\nWq34/X68Xu+ndet/kpWVRTAYZH9/n7W1NQAmJiZ4fHykoaEBj8eD0+lkfHyc09NThoaGKCgooKur\ni2AwiNvtBmBpaYnKykp6e3upq6sjFAqxuLiY3nYn8n+iE+BEREQynEbmIiIiGU5hLiIikuEU5iIi\nIhlOYS4iIpLhFOYiIiIZTmEuIiKS4RTmIiIiGU5hLiIikuEU5iIiIhnuL6/jw2hPEQyKAAAAAElF\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fcfee4016d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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LIiJ6K44xky7QWJgnJCRgyZIluHv3LoyMjBAVFQUPDw9YWVmha9eumDt3Lr78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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fcfee3e2050>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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tu8pq8yjyVWhQtyqca9vAupI5GjlXg0xmvGvN+lAmNrMTEZH+CSGQmJKJXIUS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\nY9cAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fcfec6e5150>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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wZmZmWL9+PdavXy+3LCUlBbVr10aDBg0AAD4+PoiNjUWzZs20VR4RERm4ORtO\n4eyVh7ouQ8rjg3cw6+M2WtmX1sLcxMQEJiaKd5eeng4LCwvptIWFBVJSUrRVGhER6YC+ha8hM8h7\nsxMRkf7SZUhrszWsT/QizC0tLZGRkSGdfvjwISwtLXVYERFR5aHPLeCqGr7qphdh3qhRI+Tm5iI1\nNRX169fH0aNHsXTpUl2XRUSkF/Q5jMvDkNYurYV5QkIClixZgrt378LExASHDh1Cx44d0ahRI/j5\n+WH27NmYMGECAKB79+6wsbHRVmlERDqhzZBmuFZuWgvzFi1aYMuWLeUub9myJXbs2KGtcoiINEJT\nAc0wJmX0opudiMiQvU6AM6RJHRjmRERKvEpQM6BJ2xjmREQKVDTEGeCkSwxzIqIyFIU4g5r0HcOc\niKocVVvdDHEyFAxzItJ72r7OmiFOhoZhTkQ6pasbojCwqTJhmBORTqka5AxfovIxzIlIo1Rtee9b\n1kcL1RBVTgxzIqowdXeNe3zwjtq2RVQVMcyJSCl1BDe7yIk0i2FORAB4kxQiQ8YwJ6qiKhLeDG4i\n/cYwJ6oiVAlvhjaRYWKYE1Ui7ConqpoY5kQGit/mRUSlGOZEBkhZkDOwiaoehjmRgSkb5AxuIgIA\nI10XQESqY5ATkSIMcyIDwSAnovKwm51Ijyk6N84gJ6IXMcyJtOx1bo/KICciRRjmRFrAACciTWKY\nE2lQeSHOgCYidWKYE6kZA5yItI1hTqRmHLBGRNrGMCdSkxdb5PuW9dFhNURUlTDMiV5TeZePERFp\nC8Oc6BXxGnAi0hcMc6IKYogTkb5hmBNVwItBzhAnIn3AMCdSEe+NTkT6imFO9BJsjRORvmOYE/0f\nVW65yiAnIn3EMCfCy4OcIU5E+oxhTlUSb7lKRJWJka4LINI2BjkRVTZsmVOVwxHpRFTZsGVOVcqc\nDaekvzPIiaiyYMucKj3eO52IKju2zKnS461XiaiyY8ucKi1+JSkRVRUMc6p02K1ORFUNw5wqFd56\nlYiqIoY5GTx+JSkRVXVaDfOFCxciPj4eEokE06ZNg5OTk3RZZGQk9u7dCyMjI7Ro0QJfffWVNksj\nA8UgJyLSYpifPn0aycnJ2LFjB5KSkjBt2jTs2LEDAJCbm4vvv/8ehw8fhomJCcLDw3HhwgW4uLho\nqzwyULwBDBGRFi9Ni42NRefOnQEATZs2RU5ODnJzcwEApqamMDU1xdOnT1FUVIS8vDzUrl1bW6WR\ngeINYIhug8HfAAAgAElEQVSIntNamGdkZKBu3brSaQsLC6SnpwMAqlWrhlGjRqFz587w9fWFs7Mz\nbGxstFUaGaCy3escqU5EVZ3ObhojhJD+npubi7Vr1+LgwYM4cuQI4uPjcfXqVV2VRgaA3etERP+j\ntXPmlpaWyMjIkE6npaWhXr16AICkpCRYWVnBwsICAODh4YGEhATY29trqzzSc+V90xmDnIhIi2Hu\n5eWFlStXIigoCImJibC0tIS5uTkA4N1330VSUhKePXuG6tWrIyEhAT4+PtoqjfRUeQFeit3rRETP\naS3M3dzc4ODggKCgIEgkEsyaNQtRUVGoVasW/Pz8MGzYMAwePBjGxsZwdXWFh4eHtkojPcRLzoiI\nVKfV68wnTpwoM122Gz0oKAhBQUHaLIf0EO/gRkRUcfzWNNIbDHIiolfD27mSXnjxUjOGOBGR6tgy\nJ51jkBMRvR62zEknOMCNiEh9GOakVeVdbsYgJyJ6dQxz0ioOcCMiUj+GOenEvmV9dF0CEVGlwTAn\njXvZndyIiOj1cDQ7aVR5A92IiEh92DInjeElZ0RE2sGWOWkMg5yISDsY5qRxDHIiIs1iNzupHQe8\nERFpF1vmpFaKviyFiIg0iy1zUhsOeCMi0g22zEktGORERLpT4TAvKirSRB1kwBjkRES6pVKYl5SU\nYM2aNejQoQPc3NwAAE+fPsXMmTNRUFCg0QJJvzHIiYh0T6UwX758OX7++Wd8/PHH0nnPnj3D5cuX\nsXTpUo0VR/qPQU5EpHsqhfn+/fvx3XffISQkBBKJBABgYWGBb775Br/++qtGCyT9NWfDKenvDHIi\nIt1RKcxzcnJgZ2cnN79BgwbIzMxUe1FkGMq2yomISHdUCvNGjRrh77//BgAIIaTzf/vtN9SvX18z\nlZFeY6uciEh/qHSdeVBQED799FMEBgaipKQEP/74Iy5fvoyYmBhMmjRJ0zWSnnlx0BsREemWSmE+\naNAgVKtWDZGRkTA2Nsbq1avRuHFjLF68GN27d9d0jaRnOOiNiEi/qBTmmZmZCAgIQEBAgMz8goIC\nXL58Gc2bN9dIcaRfXrxVK4OciEg/qHTO3NfXV+H8goICDB48WK0FkX7iPdeJiPSX0pb5r7/+isOH\nD6OwsFDhufG7d+/C2NhYY8WR/mDXOhGR/lIa5o0bN8Zbb70FIQTu378vt9zc3BwLFizQWHGkHzhy\nnYhIvykN8/fffx9TpkxBeno6li1bpnCdlJQUjRRG+oEj14mI9J9K58zLC/L79++jX79+ai2I9Au7\n14mI9J9Ko9lTU1MxdepUXLx4Ue6LVZo2baqRwkg3XhzoVopBTkSkv1Rqmc+dOxdmZmaYNGkSjI2N\nMXv2bPTt2xfOzs7YsmWLpmskLSkvyNm9TkSk31RqmcfHx+PIkSMwNzfH119/jcDAQAQGBmL79u34\n/vvvMXHiRE3XSRrGrzIlIjJcKrXMAeCNN94AABgbGyMvLw8A0Lt3b+zatUszlZFWMciJiAyXSmFu\na2uLb7/9FoWFhWjcuDF27twJALh9+7bcOXQyPLz0jIjIsKkU5hMnTsSOHTuQn5+PoUOHYvHixWjZ\nsiUGDBgAf39/TddIGsRLz4iIDJ9K58ydnZ3x559/wszMDL1798Y777yD+Ph4WFtbo0uXLpqukTSI\n3etERIZPpTAHADMzM+nvrVu3RuvWrQEAJSUl6q+KtI5BTkRkuF7azf7rr7/is88+w/jx43HixAmZ\nZXfu3EFwcLDGiiMiIqKXUxrm+/fvx7hx41BQUICMjAyMGDECR48eBQDs3LkTffr0gampqVYKJfUr\nO/CNiIgMl9Ju9s2bN2P+/Pno27cvAGDr1q1Ys2YNdu7cidjYWIwdOxZDhgzRSqGkXhz4RkRUeSht\nmd++fRvdu3eXTvfu3RuXLl1CTk4Odu/ejaFDh0IikWi8SFI/DnwjIqo8lLbMCwoKZAa+mZubw8zM\nDFu3btV4YaQZL96ylUFORGT4VL4DXCm2xA1b2SBn9zoRUeWg8qVpZPjKDnjbt6yPDishIiJ1Uhrm\nhYWFmDRp0kvnff311+qvjNSKA96IiCovpWHu7u6O+/fvv3SeqhYuXIj4+HhIJBJMmzYNTk5O0mX3\n79/H+PHjUVhYiObNm2Pu3LmvtA+Sx29EIyKq3JSGuTq/q/z06dNITk7Gjh07kJSUhGnTpmHHjh3S\n5YsXL0Z4eDj8/PwwZ84c3Lt3Dw0bNlTb/qsqBjkRUeVX4QFwryo2NhadO3cGADRt2hQ5OTnIzc0F\n8PyWsOfOnUPHjh0BALNmzWKQqwGDnIioatBamGdkZKBu3brSaQsLC6SnpwMAMjMz8cYbb2DRokUI\nDg7GsmXLtFVWpcUgJyKqOrQW5i8SQsj8/vDhQwwePBgRERG4fPkyjh07pqvSDB6DnIioatFamFta\nWiIjI0M6nZaWhnr16gEA6tati4YNG8La2hrGxsbw9PTE9evXtVVapcMgJyKqWioU5gUFBUhJSXml\nHXl5eeHQoUMAgMTERFhaWsLc3BwAYGJiAisrK9y+fVu63MbG5pX2U9WVvZacQU5EVDWodNOYJ0+e\nYOHChdizZw8AICEhATk5ORg/fjyWLVuGOnXqvHQbbm5ucHBwQFBQECQSCWbNmoWoqCjUqlULfn5+\nmDZtGqZMmQIhBGxtbaWD4Uh1vJaciKhqUinMlyxZgitXrmDFihUYO3YsAMDIyAgmJiZYsmQJFi1a\npNLOJk6cKDNtb28v/f29997Dtm3bVK2bynjxfuvsXiciqlpUCvMjR45g+/btsLKykt6bvVatWpg/\nfz769eun0QLp5RjkRERVm0phnpeXBysrK7n5b775Jh4/fqz2okh1vN86ERGpNADOxsYGv//+u9z8\nX375BdbW1movilTHc+RERKRSy/zjjz/GuHHj4Ofnh+LiYixcuBBXrlzBuXPnsHTpUk3XSOXgyHUi\nIgJUDPNu3bqhdu3a2Lp1K6ytrXH27Fk0btwYW7duhYuLi6ZrpBcoGvBGRERVl0phHhsbi7Zt26Jt\n27aarodUwAFvRERUlkphHhYWhgYNGqBPnz7o168f3nvvPU3XReXggDciInqRSgPgfvvtNwQFBeHo\n0aPw9/dHUFAQtm/fzpHsWsabwhARkSIqhXmjRo3wySefYM+ePdi/fz88PT2xadMmeHt7Y9y4cZqu\nkf4P77lORESKVPiLVpo2bYpRo0Zh2rRpcHV1xcGDBzVRF5UxZ8Mp9JqwRzrNICciorJUOmcOAMXF\nxTh+/DgOHjyII0eOQCKRoGvXrvj88881WV+Vx5HrRET0MiqF+bRp03DkyBE8efIEPj4+mDdvHnx9\nfWFmZqbp+qo8dq0TEdHLqBTmN2/exNixY9GtWzeVviGN1I9BTkRE5Sk3zIUQ0i9V2bp1q3R+SUmJ\n3LpGRhU+9U5ERERqUm6Yu7i4ID4+HgDQvHlzabArcuXKFfVXRjLXlBMREZWn3DCfO3eu9HdVv6+c\n1IfXlBMRkarKDfM+ff53d7GaNWuia9eucuvk5eUhKipKM5VVcRz4RkREqlLpZPekSZMUzn/8+DGW\nLFmi1oJIFoOciIheRulo9k2bNmHjxo0oKChAhw4d5Jbn5OSgQYMGmqqtyuK5ciIiqgilYT5gwABY\nW1tj9OjRCAgIkFteo0YNdOnSRWPFVTW8QQwREb0KpWFes2ZNdOzYETNmzEBQUJC2aqqSFAU5u9iJ\niEgV5Yb57t270bdv3+crmZjg559/LncjilrtpLoXR64zxImIqCLKDfOZM2dKw3z69OnlbkAikTDM\nXxODnIiIXke5YX7x4kXp71evXtVKMVUdg5yIiF6FyvdhTUpKkv5+//59bNq0CX/99ZdGiiIiIiLV\nqRTmP/30E/r37w8AyM3NRWBgICIjIzFx4kRERkZqtEAiIiJSTqUw37hxI1atWgUAiI6ORo0aNRAT\nE4MffvhB5ktYqOJ4TTkREb0ulcL8/v37aNu2LQDg+PHj6N69O0xNTeHg4ID79+9rtMDKjvdfJyKi\n16VSmNesWRO5ubkoKCjA6dOn4eXlBeB5l7uxsbFGC6wqOPiNiIheldKbxpRq06YNxowZA2NjY9Sq\nVQvu7u4oKirC6tWr4ejoqOkaKy12sRMRkTqo1DKfMWMG3n33XZibm2P16tWQSCTIy8vD77//jq++\n+krTNVZK/IpTIiJSF5Va5nXq1JH5fnMAqFWrFg4dOqSRoqoC3iiGiIjURaUwB4CDBw9i165duHPn\nDiQSCWxsbBAUFIR27dppsr5KqWz3OoOciIhel0rd7Fu3bsWECRMgkUjQqVMndOjQAQUFBRg5ciR+\n//13TddY6bB7nYiI1EmllvmPP/6IFStWoFOnTjLzY2JisGbNGnTs2FEjxVV2bJUTEZE6qNQyf/Dg\nAXx9feXmd+nSBbdv31Z3TZUaR7ATEZG6qRTm9erVw507d+Tm3717F2+++abai6rM2MVORETqplI3\nu6+vL7744guMHj0aTZs2hRAC//zzD1avXg1vb29N11hpcOAbERFpgkphPn78eMyePRtjxoyBEEI6\n39/fH1OmTNFYcZUNW+VERKQJKoV59erVsXjxYkyfPh2pqanIz8+HtbU16tatq+n6KiW2yomISJ1e\nGuZPnjzB+fPnYWpqCjc3N9jb22ujLiIiIlKR0jC/efMmwsPD8eDBAwCAjY0NNm7ciPr162ulOCIi\nIno5paPZ//Of/8DV1RV//fUXjh07hmbNmmH58uXaqo2IiIhUoLRlHh8fj507d6JevXoAgGnTpmHQ\noEFaKayy4fXlRESkKUpb5pmZmbC0tJRON2jQAI8ePdJ4UZURR7ITEZGmKA1ziUSi1p0tXLgQgYGB\nCAoKwsWLFxWus2zZMoSGhqp1v/qEI9mJiEjdVLoDnDqcPn0aycnJ2LFjBxYsWIAFCxbIrXPjxg2c\nOXNGWyURERFVCkrPmRcUFMidI1c0LzIy8qU7io2NRefOnQEATZs2RU5ODnJzc2Fubi5dZ/HixRg3\nbhxWrVql8hMwBDxfTkREmqQ0zPv06SPX1W5tbf1KO8rIyICDg4N02sLCAunp6dIwj4qKQqtWrfDu\nu+++0vb11ZwNp3i+nIiINEppmC9evFhjOy57W9js7GxERUVh48aNePjwocb2qQtlg5zny4mISBO0\nds7c0tISGRkZ0um0tDTpJW+nTp1CZmYmBg0ahM8//xyJiYlYuHChtkrTCgY5ERFpitbC3MvLC4cO\nHQIAJCYmwtLSUtrF7u/vj5iYGOzcuROrVq2Cg4MDpk2bpq3SiIiIDJpKX7SiDm5ubnBwcEBQUBAk\nEglmzZqFqKgo1KpVC35+ftoqg4iIqNLRWpgDwMSJE2WmFX1pS6NGjbBlyxZtlaRRHMVORETaUKFu\n9pSUFMTGxmqqlkqHo9iJiEgbVArzjIwMDB06FH5+fhg+fDiA5wPYunfvjrt372q0QENVtlXOwW9E\nRKRJKoX5woULYWpqij179sDI6PlD6tSpAxcXF41evmbI2ConIiJtUemc+YkTJxATE4O33npLehMZ\nMzMzTJ48Gd26ddNogYaOrXIiItI0lVrmJSUlqFu3rtx8ExMTPH36VO1FGToOfCMiIm1SKcxtbW3x\nyy+/yM1ft24d7Ozs1F6UoWMXOxERaZNK3eyjR4/GyJEjERUVhcLCQowaNQpXr15FRkYG/vvf/2q6\nRoPCgW9ERKRtKoV5mzZt8PPPP2Pnzp0wNzeHkZERunfvjqCgoEr3xSivg1+qQkREuqDyTWOaNWvG\nW6wq8WKQs1VORETaolKYT506VenyRYsWqaUYQ8YgJyIiXVEpzJOTk2WmS0pKkJqaiqKiIrRpw+Aq\ni0FORETaplKYb926VW6eEAIrV65UeMkaERERac8rfwWqRCLByJEjsWHDBnXWQ0RERBX0Wt9nnpGR\ngX///VddtRAREdErUKmbfdKkSXLznj17hnPnzsHFxUXtRRka3vGNiIh0SaUwv3//vty86tWro2fP\nnhg2bJjaizI0vLaciIh0SaUw//HHH6VfsELl40h2IiLSBZXOmbu5uWm6DiIiInpFKof5b7/9pula\nDBLPlxMRka6p1M3euHFjzJo1C9999x2sra1hamoqs/zrr7/WSHGGgOfLiYhI11QK82vXrqFJkyYA\nnl+ORvJ4vpyIiHRFpTDfsmWLpusgIiKiV6T0nHm3bt20VQcRERG9IqVhfvfuXW3VYZA4+I2IiPSB\n0jDnteXKcfAbERHpA6XnzIuLi3Hq1CkIIZRuxNPTU61FGRoOfiMiIl1SGuZFRUUICwtTGuYSiQRX\nrlxRe2FERESkGqVhbmpqioMHD2qrFiIiInoFSsPcyMgI7777rrZqISIiolegdADcy86VV2UcyU5E\nRPpCaZj36dNHW3UYHI5kJyIifaE0zOfNm6etOgxK2VY5R7ITEZGuqfStaSSLrXIiItInDPPXwFY5\nERHpA4Y5ERGRgWOYVxBHsRMRkb5hmFcQz5cTEZG+YZhXAEexExGRPmKYVwBb5UREpI8Y5q+ArXIi\nItInDHMiIiIDxzAnIiIycAxzIiIiA8cwJyIiMnAMcxXxZjFERKSvGOYq4mVpRESkr0y0ubOFCxci\nPj4eEokE06ZNg5OTk3TZqVOnsHz5chgZGcHGxgYLFiyAkZH+fdbgZWlERKRvtJaWp0+fRnJyMnbs\n2IEFCxZgwYIFMstnzpyJFStWYPv27Xjy5An++usvbZVGRERk0LQW5rGxsejcuTMAoGnTpsjJyUFu\nbq50eVRUFOrXrw8AsLCwQFZWlrZKeymeLyciIn2mtTDPyMhA3bp1pdMWFhZIT0+XTpubmwMA0tLS\ncOLECfj4+GirtJfi+XIiItJnOjspLYSQm/fo0SOMHDkSs2bNkgl+fcHz5UREpI+0FuaWlpbIyMiQ\nTqelpaFevXrS6dzcXAwfPhxjx46Ft7e3tsoiIiIyeFoLcy8vLxw6dAgAkJiYCEtLS2nXOgAsXrwY\nQ4YMQfv27bVVEhERUaWgtUvT3Nzc4ODggKCgIEgkEsyaNQtRUVGoVasWvL29sXv3biQnJ+Pnn38G\nAPTs2ROBgYHaKo+IiMhgafU684kTJ8pM29vbS39PSEjQZikq40h2IiLSd/p3VxY9w5HsRESk7xjm\nSpRtlXMkOxER6SuGuRJslRMRkSFgmKuArXIiItJnDHMiIiIDxzAnIiIycAxzIiIiA8cwLwevLyci\nIkPBMC8HR7ITEZGhYJi/BEeyExGRvmOYExERGTiGORERkYFjmCvAwW9ERGRIGOYKcPAbEREZEoa5\nEhz8RkREhoBhTkREZOAY5kRERAaOYU5ERGTgGOZEREQGjmFORERk4BjmL+A15kREZGgY5i/gNeZE\nRGRoGObl4DXmRERkKBjmREREBo5hTkREZOAY5kRERAaOYU5ERGTgGOZEREQGjmFORERk4BjmRERE\nBo5hTkREZOAY5mXwVq5ERGSIGOZl8FauRERkiBjmCvBWrkREZEgY5kRERAaOYU5ERGTgGOZERKR2\n6enpWLRoEbp27QoXFxe0bNkSvXv3xpo1a1BQUKDr8lSSmZmJL774AnZ2doiLi5NbfuLECQQFBcHD\nwwO+vr6YOXMm8vLyZB4/YcIEtG/fHi1btsTgwYORkJCgkVoZ5kREpFZ37txB3759cf/+faxatQp/\n//03/vzzT0yYMAG7du1CeHg4iouLdV2mUufOnUPv3r1Ru3Zthctv376NkSNHokePHvjrr7/w448/\nIiEhAXPnzpWuM3bsWGRmZmLnzp04duwY3NzcMGzYMGRlZam9XoY5ERGp1ezZs9GgQQP85z//wfvv\nvw+JRIIaNWrAx8cH33//PXx9fZGXl4eoqCi0bt0akZGR8PDwwK5duwAAZ86ckbZ4PTw8MGrUKNy9\ne1e6fTs7O/z000/S6aKiItjZ2SEqKgoAMGXKFAwfPhzr1q2Dt7c3HB0d8cknnyAnJ0fl5/Do0SOs\nXr0aH3/8scLlO3bsQJMmTRAaGooaNWrAysoKn332Gfbu3YvMzExcu3YNcXFxmDRpEurXr4833ngD\nn3/+OSQSCfbu3fsqh1UpE7VvkYiI1GbOhlPSy2a1zeODdyp8dU9mZiZOnjyJ//f//h8kEonccmtr\nawwbNkw6nZ+fj8TERPzxxx+oWbMmkpOTMXToUEyYMAGbNm3CkydP8OWXX+KTTz7Bvn37FG5TkfPn\nz8POzg5HjhxBWloaPv74Y8ybNw9Lly5V6fFdunQBACQnJytcfuHCBTg5OcnMc3JyQlFRERITE/Hg\nwQOYmprC3t5eutzExAQODg6Ij49XqYaKYMv8//CGMUREry8lJQVCCNjY2Ki0fl5eHoYMGYI33ngD\nEokE27dvh42NDcLDw1G9enW89dZbGD9+PK5fv45Lly6pXIexsTHGjh2LatWqwcrKCgMHDsSvv/4K\nIcSrPjUZmZmZcl3wdevWBfC8VV+6/MUPH3Xq1MGjR4/UUkNZbJn/H94whoj0kaHd96I0vF48J967\nd2/cunULAFBSUoJPP/0UDRs2BPC8tV4qOTkZzZo1k3ls6fSdO3fkWsPlsba2honJ/yLOysoKz549\nQ1ZWFiwsLCr4rCrmZb0HqvYuVATDHLKtckP7xyEi0ic2NjYwNjbGtWvX4OzsLJ1f9jxxaGioTAvZ\n1NRU+nt+fr7MNPA8/IHyQ7B0ubJ5pfszMlJPh/Tbb7+N7OxsmXmlA9vq1auHwsJC5OTkQAghU3d2\ndjbefvtttdRQFrvZwVY5EZG61KpVC506dcKGDRtQWFiocB1F4VvKxsYG165dk5l3/fp16TIAqFat\nmswlYIrOa9+9exdFRUXS6ZSUFNSsWRN16tRR/cko4erqKnfu+9y5czAzM4OjoyNcXV1RWFiIxMRE\n6fKCggJcunQJHh4eaqmhLIZ5GWyVExG9vunTp6OwsBDBwcGIj49HcXGxdGDYtGnTcPHiRbRo0ULh\nYwMCAnDnzh2sX78eBQUFePjwIZYuXQonJyc0b94cANCkSRMcOXIET58+RWZmJtasWSPXmi8sLMTK\nlSvx7NkzpKSkYNu2bfD391fbcwwKCkJKSgo2bdqEZ8+e4ebNm1i5ciX69++PWrVqoWnTpmjfvj2W\nLFmChw8fIjc3F0uXLkW1atXQs2dPtdVRSqthvnDhQgQGBiIoKAgXL16UWXby5EkEBAQgMDAQq1ev\n1mZZRESkRu+88w6ioqLQpk0bTJkyBe7u7mjVqhUmT54Mc3NzREdHw9fXV+Fj7e3tsWbNGvz666/w\n9PTEgAEDYGVlhXXr1knXmT59OjIyMtCmTRuEhoZiwIABMDc3l9tOjRo10LlzZ/To0QNNmzbFV199\npfJzCA8Ph6OjI3r06AEAGDZsGBwdHREeHg4AaNSoEdavX4/o6Gi0bNkSoaGhaNeuHaZMmSLdxrJl\ny9CgQQP07NkT3t7euH79OjZu3ChXq1oILYmLixMjRowQQghx48YNMWDAAJnl3bp1E/fu3RPFxcUi\nODhYXL9+vdxtpaSkCFtbW5GSkqKW2nqO3y16jt+tlm0REZFuTZ48WQQFBem6DLVTln1aa5nHxsai\nc+fOAICmTZsiJycHubm5AJ6fy6hduzYaNGgAIyMj+Pj4IDY2VlulERERGTStjWbPyMiAg4ODdNrC\nwgLp6ekwNzdHenq6zKUCFhYWSElJ0VZpHPhGRFRFrFu3DitXrlS6zvr169GmjWGNodLZpWlCTRfu\nqwMHvhERVR6LFy8ud9mIESMwYsQILVajHVrrZre0tERGRoZ0Oi0tDfXq1VO47OHDh7C0tNRWaURE\nRAZNa2Hu5eWFQ4cOAQASExNhaWkpHdHXqFEj5ObmIjU1FUVFRTh69Ci8vLy0VRoREZFB01o3u5ub\nGxwcHBAUFASJRIJZs2YhKioKtWrVgp+fH2bPno0JEyYAALp3767yfX2JiIiqOq2eM584caLMdNlv\nk2nZsiV27NihzXKIiIgqBd4BjoiIyMAxzImIiAwcw5yIiMjAMcyJiIgMHMOciIjIwDHMiYiIDBzD\nnIiIyMDp7N7sr6O4uBgA8ODBAx1XQkREpB2lmVeagWUZZJinp6cDAAYNGqTjSoiIiLQrPT0d7733\nnsw8idCnry9T0bNnz5CQkIB69erB2NhY1+UQERFpXHFxMdLT09GiRQtUr15dZplBhjkRERH9DwfA\nERERGTiGORERkYFjmBMRERk4hjkREZGBq5JhvnDhQgQGBiIoKAgXL16UWXby5EkEBAQgMDAQq1ev\n1lGF+k/ZMTx16hQGDBiAoKAgTJ06FSUlJTqqUr8pO4alli1bhtDQUC1XZjiUHcP79+8jODgYAQEB\nmDlzpo4qNAzKjmNkZCQCAwMRHByMBQsW6KhC/Xft2jV07twZERERcsu0kiuiiomLixMjRowQQghx\n48YNMWDAAJnl3bp1E/fu3RPFxcUiODhYXL9+XRdl6rWXHUM/Pz9x//59IYQQo0ePFseOHdN6jfru\nZcdQCCGuX78uAgMDRUhIiLbLMwgvO4ZffPGFOHz4sBBCiNmzZ4u7d+9qvUZDoOw4Pn78WPj6+orC\nwkIhhBBhYWHi77//1kmd+uzJkyciJCRETJ8+XWzZskVuuTZypcq1zGNjY9G5c2cAQNOmTZGTk4Pc\n3FwAQEpKCmrXro0GDRrAyMgIPj4+iI2N1WW5eknZMQSAqKgo1K9fHwBgYWGBrKwsndSpz152DAFg\n8eLFGDdunC7KMwjKjmFJSQnOnTuHjh07AgBmzZqFhg0b6qxWfabsOJqamsLU1BRPnz5FUVER8vLy\nULt2bV2Wq5fMzMywfv16WFpayi3TVq5UuTDPyMhA3bp1pdMWFhbSO8qlp6fDwsJC4TL6H2XHEADM\nzc0BAGlpaThx4gR8fHy0XqO+e9kxjIqKQqtWrfDuu+/qojyDoOwYZmZm4o033sCiRYsQHByMZcuW\n6VqVbn0AAAwdSURBVKpMvafsOFarVg2jRo1C586d4evrC2dnZ9jY2OiqVL1lYmIidxOXUtrKlSoX\n5i8SvGfOa1N0DB89eoSRI0di1qxZMm8UpFjZY5idnY2oqCiEhYXpsCLDU/YYCiHw8OFDDB48GBER\nEbh8+TKOHTumu+IMSNnjmJubi7Vr1+LgwYM4cuQI4uPjcfXqVR1WR+WpcmFuaWmJjIwM6XRaWhrq\n1auncNnDhw8VdptUdcqOIfD8DWD48OEYO3YsvL29dVGi3lN2DE+dOoXMzEwMGjQIn3/+ORITE7Fw\n4UJdlaq3lB3DunXromHDhrC2toaxsTE8PT1x/fp1XZWq15Qdx6SkJFhZWcHCwgJmZmbw8PBAQkKC\nrko1SNrKlSoX5l5eXjh06BAAIDExEZaWltJu4UaNGiE3NxepqakoKirC0aNH4eXlpcty9ZKyYwg8\nP9c7ZMgQtG/fXlcl6j1lx9Df3x8xMTHYuXMnVq1aBQcHB0ybNk2X5eolZcfQxMQEVlZWuH37tnQ5\nu4cVU3Yc3333XSQlJeHZs2cAgISEBDRu3FhXpRokbeVKlbw3+9KlS3H27FlIJBLMmjULly9fRq1a\nteDn54czZ85g6dKlAIAuXbpg2LBhOq5WP5V3DL29vdGyZUu4urpK1+3ZsycCAwN1WK1+UvZ3WCo1\nNRVTp07Fli1bdFip/lJ2DJOTkzFlyhQIIWBra4vZs2fDyKjKtV9Uouw4bt++HVFRUTA2Noarqysm\nTZqk63L1TkJCApYsWYK7d+/CxMQE77zzDjp27IhGjRppLVeqZJgTERFVJvyYSkREZOAY5kRERAaO\nYU5ERGTgGOZEREQGjmFORERk4BjmRDoyZcoUBAcH67qM17J79244OjqiuLhY4fLw8HBMnTpVy1UR\nVT28NI3oFYSGhuLs2bMwMTGRWxYSEoLJkye/dBtTpkxBcnIytm3bpokSYWdnBxMTE+m11UZGRmjY\nsCF69OiB4cOHo1q1amrf59mzZ1FYWAhPT0+1b/tFqamp6NSpE0xNTSGRSKTza9euDTc3N4wdOxZN\nmjRReXt79uyBm5sbrKysNFEukUbJvxMRkUp69OghvRGEvpo9ezb69+8PACgqKkJ8fDzGjh2L7Oxs\nTJ8+Xe3727x5M5o0aaKVMC+1bt06tG3bVjr94MEDLFmyBGFhYdi/fz9q1ar10m0IIbBo0SIsX76c\nYU4Gid3sRBqSnp6OcePGwcvLC66urvjwww9x8uRJhesKIfDtt99Kv5mqXbt2WLRoEQoLCwEAxcXF\nWLVqFbp27QpnZ2d06tQJGzZsqFA9JiYmcHd3R0hICGJiYqTz//nnH4SHh6N169ZwdXVFWFiYzJdp\nnDx5Ev3794e7uzs8PDwQFhaGGzduAHj+7W52dnYoKipCUFAQDh8+jPXr18PDwwPA8x6MiRMn4tat\nW7Czs8Pp06dlalq5ciU6dOiAkpISPHv2DPPnz0fHjh3h5OSEbt26Yffu3RV6jgBQv359TJs2DQ8e\nPJD5qsnvv/8eXbt2haurK3x8fPDNN99ACIGnT5/C0dERWVlZGDFiBEaOHAkAyMrKwuTJk+Hj44P/\n397dx9T8/nEcf+ZE5NjXWtl0YztTY6RacpMplJulO0cZq1mTCtWyNUNSyM1q1rJuqD9soixNxorC\n2qLcVUpMCxM5oxk7omKdnHO+f5jz00/85Lt+vm3vx5/nc13XuT7nn9fnuvmcy9XVFbVazbVr14bc\nHyH+HyTMhRgmKSkpaLVaLl++TH19PV5eXsTHx393bjnApUuXOHv2LIWFhbS0tHDy5ElqamooKysD\nIDc3l/Pnz5OdnU1TUxMZGRkcO3bst8JOr9eblgfev3/P+vXrcXR0pLq6mtraWmxsbIiMjKSnp4f+\n/n7i4uIICQmhvr6empoaVCrVoKP6kpIS7OzsiI6OprGxccA1lUqFi4sLlZWVAz6/ePEiwcHBjBo1\nitTUVFpaWigsLKSpqYnExESSk5NpaGgY8j3qdDoA01LC5cuXycrKIjMzk+bmZvLy8jhx4gTnzp3D\n0tKSqqoq4MsoPz8/H4D4+Hjev39PWVkZDQ0NhIaGEhsbi0ajGXJ/hBhuEuZCDJMjR45w9OhRlEol\no0ePJjAwkN7eXtOo9lsfPnzAzMzMFD4qlYqqqirWrVuHwWDg9OnTREdHM23aNBQKBR4eHqxZs4bS\n0tJf7o9Op6OhoYHi4mJCQkIAKC8vx8zMjG3btqFUKlEqlezcuROtVsv169fR6XT09fVhYWGBQqFA\nqVSSkpJCSUnJkH+PoKAgrly5gsFgAKC1tZVnz56xatUqurq6KC8vZ+vWrTg4OGBubs6yZcvw8fEZ\n0j0ajUY0Gg1paWnY29ubpvuXLl1KbW0tzs7OADg7O+Pk5ERLS8ug7bS1tdHY2MiOHTuwtrZmzJgx\nhIeHM23aNNMDlhD/JrJmLsRvunjxoum0qW/t27eP1atX8/jxY44cOcLDhw/p7e01Xe/r6/uuTkBA\nAFVVVfj6+uLu7s6CBQsIDAzEzs4OrVZLV1cX+/fv58CBA6Y6RqNxwNGzg9m7dy9paWnAl2l2e3t7\nIiMjiYiIAKCjo4MpU6YwZswYUx0rKyusrKzQaDSMHz+exMREUlNTKSgowNPTk2XLlg1Yo/5V/v7+\npKenU19fz/z586moqMDNzQ2VSkVLSwsGg4HNmzcP2MxmNBpxdXX9absxMTGmOgaDAaPRSFBQEEVF\nRab70ul05OTkUF1djVarBaC/vx9HR8dB22xvbwe+PIB8y2g0/rCOEH+ShLkQv+lnG+C6u7vZuHEj\n3t7eVFRUYGNjQ3t7O35+foOWnzBhAoWFhTx58oS6ujqqq6vJzc0lJyeHOXPmAJCVlTXgRLVf8e0G\nuMH09fUx2AstBoPBFJBRUVGEhoZy48YNamtriYuLw8fHh8zMzCH1xcrKioULF1JZWcm8efOorKwk\nJiYG+M90eGlpKTNmzBhSu99ugGtrayM0NJTFixczefJkU5m0tDTq6urIy8tj5syZKBSKn57k97U/\ndXV1/PXXX0PqjxB/gkyzCzEMnj59yocPH4iMjDSNnu/fv//D8jqdjp6eHpycnNiwYQNFRUX4+flx\n5swZlEol1tbWtLa2Dqjz+vVr09rw71KpVHR0dAyYLXjz5g3v3r0znf+t1WqZOHGiaWR99OhRKioq\n6OrqGvL3BQcHU11dTVNTE2/fvmXlypUAODg4oFAovrvHV69e8fnz519uf/r06cTGxrJnzx5ev35t\n+ry5uZkVK1bg4uKCQqH44XLHV1/P7P7v/mg0mkEffoT40yTMhRgGtra2KBQKmpqa6O/v5+bNm6Yp\n+c7Ozu/Kp6WlsWXLFl69egV8Cernz5+b3pOOiIiguLiYW7duodfraWtrIywsjOPHj/+jfgYEBGAw\nGDh8+DCfPn2iq6uLQ4cOYWtri7e3N3fv3sXX15e6ujr0ej06nY579+5hbW096Ih13LhxvHjxgu7u\n7kH/SMbHx4dPnz6RnZ2Nj4+PqY3x48cTGhpKXl4era2t6PV6GhoaUKvVA3be/4qYmBjs7OzYtWuX\nKXinTJlCa2srHz9+5OXLl+zevRtbW1s6OzsxGo1YWloCX6bXu7u7mTp1KgsXLiQjI4OOjg70ej1X\nr17F39+fu3fvDvVnFmLYSZgLMQwmTZpEcnIyBQUFzJ07l6KiIg4ePIifnx+pqalcuHBhQPkdO3Zg\nb29PSEgILi4urF27llmzZpGQkADAxo0bCQ8PJykpCTc3N+Li4lCr1WzatOkf9dPGxobjx4/z6NEj\nFi1ahL+/P3q9nuLiYiwsLJg9ezY7d+7k4MGDuLu74+XlRX19Pfn5+QPWtr8KCwujpqYGX19f3r17\n9931sWPHsnz5cm7fvo1arR5wLSkpiSVLlhAVFYW7uzupqakkJCR8t279v5ibm5Oens6dO3c4deoU\nANu3b6evrw9PT09iYmJQq9XEx8fz4MEDoqOjsbKyIjAwkPT0dKKiogA4fPgwjo6OrFmzBg8PD/Ly\n8sjIyDC9difEv4n8A5wQQggxwsnIXAghhBjhJMyFEEKIEU7CXAghhBjhJMyFEEKIEU7CXAghhBjh\nJMyFEEKIEU7CXAghhBjhJMyFEEKIEU7CXAghhBjh/gZwpl10BktTGQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fcfec54f390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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0kNYEx7qpNmKYE1GlcfyZqGZgmBNRuTRtebPbmqh6McyJ6ig+HISo9mCYE9Vi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\nzn0DcLyrRTRlPJoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fcfec620e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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IiYjo9cGW+WuOLXIiotcfW+avsZeDnC1yIqLXE1vmrzFeG05EVDmwZf6aKv7E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\n9zDhAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fcfec497790>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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1HYJW0opkbmpqiqysLOnjBw8ewNTUVIMRERFRbdDF7nFdpBVT09q0aYO8vDyk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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fcfec3c2b10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot ROC curve for protest\n",
    "attr = \"protest\"\n",
    "target = df_target[attr]\n",
    "pred = df_pred[attr]\n",
    "fig = plot_roc(attr, target, pred)\n",
    "fig.savefig(os.path.join('files', attr+'.png'))\n",
    "# plot ROC curves for visual attributes\n",
    "for attr in df_pred.columns[3:]:\n",
    "    target = df_target[attr]\n",
    "    pred = df_pred[attr][target != '-']\n",
    "    target = target[target != '-'].astype(int)\n",
    "    fig = plot_roc(attr, target, pred)\n",
    "    fig.savefig(os.path.join('files', attr+'.png'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "source": [
    "#### Violence"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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WVtqOGR8f72IN6Ny5M65evSriSgmxkJm9lXLlyhU8++yznGk9I0eOBNDwI05KSgLQoKlY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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fcfec2a1810>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import scipy.stats as stats\n",
    "attr = 'violence'\n",
    "pred = df_pred[df_target['protest'] == 1][attr].tolist()\n",
    "target = df_target[df_target['protest'] == 1][attr].astype(float).tolist()\n",
    "fig, ax = plt.subplots()\n",
    "plt.scatter(target, pred, label = attr.title())\n",
    "plt.xlim([-.05,1.05])\n",
    "plt.ylim([-.05,1.05])\n",
    "plt.xlabel('Annotation', fontsize = 15)\n",
    "plt.ylabel('Predicton', fontsize = 15)\n",
    "corr, pval = stats.pearsonr(target, pred)\n",
    "plt.title(('Scatter Plot for {attr} (Correlation = {corr:.3f})'\n",
    "            .format(attr = attr.title(), corr= corr)), fontsize = 15)\n",
    "plt.show()\n",
    "fig.savefig(os.path.join('files', attr+'.png'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.14"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
